 
 
 
10.3.3  Expanding logarithms
The logarithm applied to a product can be converted into a
sum of logarithms; namely,
The lnexpand
command does this expansion.
- 
lnexpand takes
expr, an expression.
- lnexpand(expr) returns the
expression expr with logarithms of products
rewritten as sums of logarithms.
Example
| lnexpand(ln(3*x^2)+ln(2*x+2)) | 
|  | | | ln | ⎛ ⎝
 | 3 | ⎞ ⎠
 | +2 ln | ⎪ ⎪
 | x | ⎪ ⎪
 | +ln | ⎛ ⎝
 | 2 | ⎞ ⎠
 | +ln | ⎛ ⎝
 | x+1 | ⎞ ⎠
 | 
 |  |  |  |  |  |  |  |  |  |  | 
 | 
 
 
